Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
If the husband has pronounced the words of divorce and her waiting period has finished then she may marry any other man. A verdict of a court is not a compulsory condition for a divorce to be valid rather it is done only to authorize the divorce from the authorities. However, it is advisable to get the court papers before a second marriage to avoid any potential disputes.
But, if she cannot wait or the delay in official procedure could lead her to temptations then she can marry after completing her waiting period.
Allah knows best.